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Finding the Fourth Proportional to 17,409, 24,012.88 and 11,666.62

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Solution

The fourth proportional to 17,409, 24,012.88 and 11,666.62 is: 16,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409 : 24,012.88 = 11,666.62 : x
  2. Step 2: Convert to fraction form
    17,409/24,012.88 = 11,666.62/x
  3. Step 3: Cross multiply
    17,409x = 24,012.88 × 11,666.62
  4. Step 4: Simplify right side
    17,409x = 280,149,056.87
  5. Step 5: Solve for x
    x = 280,149,056.87/17,409
  6. Step 6: Final answer
    x = 16,092.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.